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415113344 = 2717190769
BaseRepresentation
bin11000101111100…
…010000010000000
31001221002221110022
4120233202002000
51322232111334
6105105153012
713200255662
oct3057420200
91057087408
10415113344
111a3358888
12b702b768
13680036c9
143d1ba532
152669b82e
hex18be2080

415113344 has 32 divisors (see below), whose sum is σ = 875634300. Its totient is φ = 195346432.

The previous prime is 415113329. The next prime is 415113359. The reversal of 415113344 is 443311514.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (415113329) and next prime (415113359).

It can be written as a sum of positive squares in 2 ways, for example, as 398401600 + 16711744 = 19960^2 + 4088^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93209 + ... + 97560.

Almost surely, 2415113344 is an apocalyptic number.

It is an amenable number.

415113344 is an abundant number, since it is smaller than the sum of its proper divisors (460520956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

415113344 is a wasteful number, since it uses less digits than its factorization.

415113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190800 (or 190788 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 415113344 is about 20374.3305166084. The cubic root of 415113344 is about 745.9714929917.

Adding to 415113344 its reverse (443311514), we get a palindrome (858424858).

The spelling of 415113344 in words is "four hundred fifteen million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 190769 381538 763076 1526152 3052304 3243073 6104608 6486146 12209216 12972292 24418432 25944584 51889168 103778336 207556672 415113344